AND-NOT logic framework for steady state analysis of Boolean network models

Authors

Alan Veliz-Cuba, 203 Avery Hall, USAFollow
Kristina Buschur
Rose Hamershock
Ariel Kniss
Esther Wolff
Reinhard Laubenbacher

Author Country (or Countries)

USA

Abstract

In this paper we propose the class of AND-NOT networks for modeling biological systems and show that it provides several advantages. Some of the advantages include: Any finite dynamical system can be written as an AND-NOT network with similar dynamical properties. There is a one-to-one correspondence between AND-NOT networks, their wiring diagrams, and their dynamics. Results about AND-NOT networks can be stated at the wiring diagram level without losing any information. Results about AND-NOT networks are applicable to any Boolean network. We apply our results to a Boolean model of Th-cell differentiation.

Suggested Reviewers

N/A

Recommended Citation

Veliz-Cuba, Alan; Buschur, Kristina; Hamershock, Rose; Kniss, Ariel; Wolff, Esther; and Laubenbacher, Reinhard (2013) "AND-NOT logic framework for steady state analysis of Boolean network models," Applied Mathematics & Information Sciences: Vol. 07: Iss. 4, Article 1.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/1